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Finding the Third Proportional to 931,355 and 1,423,764

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Solution

The third proportional to 931,355 and 1,423,764 is: 2,176,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,355 : 1,423,764 = 1,423,764 : x
  2. Step 2: Convert to fraction form
    931,355/1,423,764 = 1,423,764/x
  3. Step 3: Cross multiply
    931,355x = 1,423,764 × 1,423,764
  4. Step 4: Simplify right side
    931,355x = 2,027,103,927,696
  5. Step 5: Solve for x
    x = 2,027,103,927,696/931,355
  6. Step 6: Final answer
    x = 2,176,510.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.